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Finding the Fourth Proportional to 438,423.60, 657,635.40 and 413,929.20

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Solution

The fourth proportional to 438,423.60, 657,635.40 and 413,929.20 is: 620,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,423.60 : 657,635.40 = 413,929.20 : x
  2. Step 2: Convert to fraction form
    438,423.60/657,635.40 = 413,929.20/x
  3. Step 3: Cross multiply
    438,423.60x = 657,635.40 × 413,929.20
  4. Step 4: Simplify right side
    438,423.60x = 272,214,495,013.68
  5. Step 5: Solve for x
    x = 272,214,495,013.68/438,423.60
  6. Step 6: Final answer
    x = 620,893.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.